Discussion
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- Question
- Which among ?81 and ?1 is smaller?
Options- A. ?81
- B. ?1
- C. Both are equal
- D. None of these
- Correct Answer
- ?1
Explanation?81 and ?1 = 811/2 and 11/2
Since, 1 < 81
? ?1 < ?81 - 1. Which among ?8 and ?1000 is greater?
Options- A. ?8
- B. ?1000
- C. Both are equal
- D. None of these Discuss
- 2. If x = ?3 + ?2, then the value of (x + 1)/(x - 1) - (x - 1)/(x + 1) is?
Options- A. ?3
- B. ?2
- C. ?6
- D. None of above Discuss
- 3. Evaluate ?16 + ?9.5 x 0.0085 x 18.9/0.021 x 0.0017 x 1.9
Options- A. 154
- B. 158
- C. 160
- D. 169 Discuss
- 4. The value of 6?0.000729 is
Options- A. 0.027
- B. 0.3
- C. 0.03
- D. 0.09 Discuss
- 5. if ?x/169 = 18/13, then x is equal to
Options- A. 108
- B. 324
- C. 2916
- D. 4800 Discuss
- 6. IF (14) 3 is added to the square of a number, the answer to obtained is 4425. What is the number?
Options- A. 1849
- B. 43
- C. 41
- D. 1681 Discuss
- 7. Which among ?10 and ?8 is greater?
Options- A. ?10
- B. ?8
- C. Both are equal
- D. None of these Discuss
- 8. Find the least number which multiplied with 74088 will make it a perfect square?
Options- A. 42
- B. 44
- C. 46
- D. 48 Discuss
- 9. Find the number whose square is equal to the difference between the square of 75.15 and 60.12.?
Options- A. 225.9
- B. 67.635
- C. 45.09
- D. 15.03 Discuss
- 10. A general wishing to draw up his 16160 soldiers in the form as a solid square, found that he had 31 soldiers left over. Find the number of soldiers in the front.?
Options- A. 126
- B. 125
- C. 128
- D. 127 Discuss
Order of Magnitude problems
Search Results
Correct Answer: ?1000
Explanation:
?8 and ?1000 = 81/3 and 10001/3
Since 1000 > 8
? ?1000 > ?8
Correct Answer: ?2
Explanation:
(x + 1)/(x - 1) - (x - 1)/(x + 1) = {(x + 1)2 - (x - 1)2} / {(x - 1) (x + 1)}
= (x2 + 1 + 2x) - (x2 + 1 - 2x) / (x2 - 1)
= 4x / (x2 - 1) = 4(?3 + ?2) / {(?3 + ?2)2 - 1}
= 4(?3 + ?2) / (3 + 2 + 2?6 - 1) = 4(?3 + ?2) / (4 + 2 ?6)
= 4(?3 + ?2) / 2 ?2 (?3 + ?2)
= ?2
Correct Answer: 154
Explanation:
Given that,
?16 + ?9.5 x 0.0085 x 18.9/0.021 x 0.0017 x 1.9
remove the decimal and simply the euqation.
= ?16 + ?95 x 85 x 18900/21 x 17 x 19
= 4 + ?5 x 5 x 900
= 4 + 5 x 30
= 4 + 150
= 154
Correct Answer: 0.3
Explanation:
Given that,
6?0.000729
first method to solve the equation.
after removing the decimal, the equation will be
= 6?729/1000000
Simplify the equation.
= 6?3 x 3 x 3 x 3 x 3 x 3 / 10 x 10 x 10 x 10 x 10 x 10
= 6?36/106
= 6?( 3/10 )6
After simplifying the root we will get,
= ( 3/10 )6 x 1/6
= 3/10
= 0.3
Second method to solve the equation.
simplify the the number in multiplication of numbers.
6?0.000729
6?0.3 x 0.3 x 0.3 x 0.3 x 0.3 x 0.3
= 6?(0.3)6
remove the root and simplify ,
= (0.3)6 x 1/6
= 0.3
Correct Answer: 324
Explanation:
Given, ?x/169 = 18/13
On squaring both sides, we get
x/169 = 18/13 x 18/13
? x = 18 x 18 x 169/13 x 13
x = 18 x 18 = 324
Correct Answer: 41
Explanation:
Let the number be x.
According to the question,
x2 + (14)3 = 4425
? x2 = 4425 - (14)3
? x2 = 4425 - 2744
? x2 = 1681
? x = ?1681 = 41
Correct Answer: ?8
Explanation:
?10 and ?8 = 101/4 and 81/3
Since, LCM of 4 and 3 is 12.
? 101/4 = 103/12 = (103)1/12 = (1000)1/12 = 12?1000
and 81/3 = 84/12 = (84)1/12 (4096)1/2 = 12?4096
? 4096 > 1000
Hence, 81/3 >101/4
? ?8 > ?10
Correct Answer: 42
Explanation:
74088 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7
= (2 x 2) x (3 x 3) x (7 x 7) x ( 2 x 3 x 7)
? Least number which should be multiplied to 74088 to make it a perfect suqare = 2 x 3 x 7 = 42
Correct Answer: 45.09
Explanation:
Let the number be x.
Then, accordingto the question,
x2 = (75.15)2 - (60.12)2
? x2 = 5647.52 - 3614.41
? x2 = 2033.11
? x = 45.09
Correct Answer: 127
Explanation:
Let the total number of soliders in front be x. Then, total number of soliders in form of solid square = x2
According to the question, x2 + 31 = 16160
? x2 = 16129 ? x = ?16129
? x = 127
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